On tensor product L-functions and langlands functoriality

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Abstract

In the spirit of the Langlands proposal on Beyond Endoscopy, we discuss the explicit relation between the Langlands functorial transfers and automorphic L-functions. It is well-known that the poles of the L-functions have deep impact to the Langlands functoriality. Our discussion also includes the meaning of the central value of the tensor product L-functions in terms of the Langlands functoriality. This leads to the theory of the twisted automorphic descents for cuspidal automorphic representations of general classical groups.

Original languageEnglish (US)
Pages (from-to)169-189
Number of pages21
JournalBulletin of the Iranian Mathematical Society
Volume43
Issue number4 Special Issue
StatePublished - Aug 2017

Keywords

  • Automorphic descent
  • Automorphic representations
  • Endoscopy
  • L-functions
  • Langlands functoriality

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